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Finding the Fourth Proportional to 3,135.93, 4,703.37 and 944.15

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Solution

The fourth proportional to 3,135.93, 4,703.37 and 944.15 is: 1,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.93 : 4,703.37 = 944.15 : x
  2. Step 2: Convert to fraction form
    3,135.93/4,703.37 = 944.15/x
  3. Step 3: Cross multiply
    3,135.93x = 4,703.37 × 944.15
  4. Step 4: Simplify right side
    3,135.93x = 4,440,686.18
  5. Step 5: Solve for x
    x = 4,440,686.18/3,135.93
  6. Step 6: Final answer
    x = 1,416.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.